Answer:
narrower, reduced
Step-by-step explanation:
Given that a sample of a given size is used to construct a 95% confidence interval for the population mean with a known population standard deviation
we have confidence interval is margin of error on either side of mean.
Margin of error= Critical value * std error
Std error in turn is inversely proportinal to square root of n
For same confidence level, if sample size is increased we get a less margin of error and hence a narrower confidence interval.
when a confidence interval is narrowed, probability of making a type I error would be reduced.
Hence we get
If a bigger sample had been used instead, then the 95% confidence interval would have been __narrower______ and the probability of making an error would have been ___reduced_____.
